LCM of 954, 190, 170, 513, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 190, 170, 513, 179 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 954, 190, 170, 513, 179. So, keep reading to learn more.
Given numbers are 954,190,170,513,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,190,170,513,179 is 827361270.
Find LCM of 954,190,170,513,179 with Prime Factorization
| 2 | 954, 190, 170, 513, 179 |
| 3 | 477, 95, 85, 513, 179 |
| 3 | 159, 95, 85, 171, 179 |
| 5 | 53, 95, 85, 57, 179 |
| 19 | 53, 19, 17, 57, 179 |
| 53, 1, 17, 3, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 53 x 1 x 17 x 3 x 179 = 827361270
Therefore, the lowest common multiple of 954,190,170,513,179 is 827361270.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
954 x 190 x 170 x 513 x 179 = 2829575543400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
190 : 1, 2, 5, 10, 19, 38, 95, 190
170 : 1, 2, 5, 10, 17, 34, 85, 170
513 : 1, 3, 9, 19, 27, 57, 171, 513
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,190,170,513,179, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
190:2x 5x 19
170:2x 5x 17
513:3x 3x 3x 19
179:179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 19 = 3420
Therefore, the value for common factors is 3420.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 2829575543400/(1x3420)
LCM = 2829575543400/3420
LCM = 827361270
Thus, we can understand that the LCM of 954,190,170,513,179 is 827361270.
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FAQs on LCM of 954, 190, 170, 513, 179
1. What is the LCM of 954, 190, 170, 513, 179?
Answer: LCM of 954, 190, 170, 513, 179 is 827361270.
2. How to calculate the LCM of 954, 190, 170, 513, 179?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 954, 190, 170, 513, 179.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.